diff --git a/.travis.yml b/.travis.yml
index a6b15b7e..0fc87d93 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -6,7 +6,6 @@ python:
   - "3.6"
   - "3.7"
   - "3.8"
-  - "3.5"
 
 # Executed for 3.5 AND 3.5 as the first "test" stage:
 script:
diff --git a/README.md b/README.md
index 9f85f1ba..14c9cfd6 100644
--- a/README.md
+++ b/README.md
@@ -69,7 +69,7 @@ sqlite-utils: a Python library and CLI tool for building SQLite databases](https
 
     pip3 install datasette
 
-Datasette requires Python 3.5 or higher. We also have [detailed installation instructions](https://datasette.readthedocs.io/en/stable/installation.html) covering other options such as Docker.
+Datasette requires Python 3.6 or higher. We also have [detailed installation instructions](https://datasette.readthedocs.io/en/stable/installation.html) covering other options such as Docker.
 
 ## Basic usage
 
diff --git a/docs/contributing.rst b/docs/contributing.rst
index 43834edc..078fd841 100644
--- a/docs/contributing.rst
+++ b/docs/contributing.rst
@@ -18,7 +18,7 @@ General guidelines
 Setting up a development environment
 ------------------------------------
 
-If you have Python 3.5 or higher installed on your computer (on OS X the easiest way to do this `is using homebrew <https://docs.python-guide.org/starting/install3/osx/>`__) you can install an editable copy of Datasette using the following steps.
+If you have Python 3.6 or higher installed on your computer (on OS X the easiest way to do this `is using homebrew <https://docs.python-guide.org/starting/install3/osx/>`__) you can install an editable copy of Datasette using the following steps.
 
 If you want to use GitHub to publish your changes, first `create a fork of datasette <https://github.com/simonw/datasette/fork>`__ under your own GitHub account.
 
diff --git a/docs/installation.rst b/docs/installation.rst
index e65d8ee3..9ee7eb4e 100644
--- a/docs/installation.rst
+++ b/docs/installation.rst
@@ -69,16 +69,19 @@ You can now run the new custom image like so::
 You can confirm that the plugins are installed by visiting
 http://127.0.0.1:8001/-/plugins
 
-
 Install using pip
 -----------------
 
-To run Datasette without Docker you will need Python 3.5 or higher.
+To run Datasette without Docker you will need Python 3.6 or higher.
 
 You can install Datasette and its dependencies using ``pip``::
 
     pip install datasette
 
+The last version to support Python 3.5 was 0.30.2 - you can install that version like so::
+
+    pip install datasette==0.30.2
+
 If you want to install Datasette in its own virtual environment, use this::
 
     python -mvenv datasette-venv
diff --git a/setup.py b/setup.py
index e8229de1..7a4cdcb3 100644
--- a/setup.py
+++ b/setup.py
@@ -42,12 +42,12 @@ setup(
     include_package_data=True,
     install_requires=[
         "click~=7.0",
-        "click-default-group~=1.2.1",
-        "Jinja2~=2.10.1",
-        "hupper~=1.0",
+        "click-default-group~=1.2.2",
+        "Jinja2~=2.10.3",
+        "hupper~=1.9",
         "pint~=0.9",
-        "pluggy~=0.12.0",
-        "uvicorn~=0.8.4",
+        "pluggy~=0.13.0",
+        "uvicorn~=0.10.4",
         "aiofiles~=0.4.0",
     ],
     entry_points="""
@@ -58,11 +58,11 @@ setup(
     extras_require={
         "docs": ["sphinx_rtd_theme", "sphinx-autobuild"],
         "test": [
-            "pytest~=5.0.0",
+            "pytest~=5.2.2",
             "pytest-asyncio~=0.10.0",
-            "aiohttp~=3.5.3",
-            "beautifulsoup4~=4.6.1",
-            "asgiref~=3.1.2",
+            "aiohttp~=3.6.2",
+            "beautifulsoup4~=4.8.1",
+            "asgiref~=3.2.3",
         ]
         + maybe_black,
     },
@@ -74,8 +74,8 @@ setup(
         "Intended Audience :: End Users/Desktop",
         "Topic :: Database",
         "License :: OSI Approved :: Apache Software License",
+        "Programming Language :: Python :: 3.8",
         "Programming Language :: Python :: 3.7",
         "Programming Language :: Python :: 3.6",
-        "Programming Language :: Python :: 3.5",
     ],
 )
diff --git a/tests/test_black.py b/tests/test_black.py
index 68e2dcc0..b5bfcfd0 100644
--- a/tests/test_black.py
+++ b/tests/test_black.py
@@ -1,3 +1,4 @@
+import black
 from click.testing import CliRunner
 from pathlib import Path
 import pytest
@@ -6,13 +7,7 @@ import sys
 code_root = Path(__file__).parent.parent
 
 
-@pytest.mark.skipif(
-    sys.version_info[:2] < (3, 6), reason="Black requires Python 3.6 or later"
-)
 def test_black():
-    # Do not import at top of module because Python 3.5 will not have it installed
-    import black
-
     runner = CliRunner()
     result = runner.invoke(
         black.main, [str(code_root / "tests"), str(code_root / "datasette"), "--check"]